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Finding the Fourth Proportional to 536.09, 804.08 and 363.86

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Solution

The fourth proportional to 536.09, 804.08 and 363.86 is: 545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 804.08 = 363.86 : x
  2. Step 2: Convert to fraction form
    536.09/804.08 = 363.86/x
  3. Step 3: Cross multiply
    536.09x = 804.08 × 363.86
  4. Step 4: Simplify right side
    536.09x = 292,566.71
  5. Step 5: Solve for x
    x = 292,566.71/536.09
  6. Step 6: Final answer
    x = 545.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.